GCD of 420, 944, 950, 648 Calculator

Given Input numbers are 420, 944, 950, 648

In the factoring method, we have to find the divisors of all numbers

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 944 :

The positive integer divisors of 944 that completely divides 944 are.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Divisors of 950 :

The positive integer divisors of 950 that completely divides 950 are.

1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

GCD of numbers is the greatest common divisor

So, the GCD (420, 944, 950, 648) = 2.

Given numbers are 420, 944, 950, 648

The list of prime factors of all numbers are

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 944 are 2 x 2 x 2 x 2 x 59

Prime factors of 950 are 2 x 5 x 5 x 19

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 420, 944, 950, 648 is 2.

Given numbers are 420, 944, 950, 648

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(420, 944) = 99120

GCD(420, 944) = ( 420 x 944 ) / 99120

= 420 / 944

= 420

Step2:

LCM(4, 950) = 1900

GCD(4, 950) = ( 4 x 950 ) / 1900

= 4 / 950

= 4

Step3:

LCM(2, 648) = 648

GCD(2, 648) = ( 2 x 648 ) / 648

= 2 / 648

= 2

So, Greatest Common Divisor of 420, 944, 950, 648 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 929, 660, 564, 925
• GCD of 454, 688, 650, 592
• GCD of 573, 894, 916, 603
• GCD of 390, 990, 528, 677
• GCD of 905, 608, 105, 403

Given numbers are 420, 944, 950, 648
The greatest common divisor of numbers 420, 944, 950, 648 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 944, 950, 648 is 2.

1. What is the GCD of 420, 944, 950, 648?

GCD of given numbers 420, 944, 950, 648 is 2

2. How to calculate the greatest common divisor of 420, 944, 950, 648?

We can find the highest common divisor of 420, 944, 950, 648 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 420, 944, 950, 648 i.e 2.

3. How can I use the GCD of 420, 944, 950, 648Calculator?

Out the numbers 420, 944, 950, 648 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.